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math.RT2026
The Eaton--Moretó Conjecture Holds True for \(p\)-Solvable Groups
Yanjun Liu, Lizhong Wang, Jiping Zhang +1
In this paper we prove that the Eaton--Moretó conjecture holds true for all -solvable groups.
math.GR2026
A Proof of the Isaacs_Navarro_Wolf Conjecture
Quanfu Yan, Jiping Zhang
An element of a finite group is non-vanishing if no irreducible complex character vanishes on it. We prove that every non-vanishing element of a finite solvable group belongs to th…
math.GR2026
Thompson's Conjecture for Finite Simple Groups of Lie Type over Small Fields
Jun Liao, Lizhong Wang, Jiping Zhang
We prove that every finite simple group of Lie type over a field of order at most 8 contains a conjugacy class whose square is the whole group. Together with the previously establi…